Beyond LIMD bias: a measurement of the complete set of third-order halo bias parameters

We present direct measurements of cubic bias parameters of dark matter halos from the halo-matter-matter-matter trispectrum. We measure this statistic efficiently by cross-correlating the halo field measured in N-body simulations with specific third-order nonlocal transformations of the initial density field in the same simulation. Together with the recent ref. [1], these are the first measurements of halo bias using the four-point function that have been reported to date. We also obtain constraints on the quadratic bias parameters. For all individual cubic parameters involving the tidal field K-ij, we find broad consistency with the prediction of the Lagrangian local-in-matter-density ansatz, with some indications of a positive Lagrangian coefficient b(td)(L) multiplying the time derivative of K-ij. For the quadratic tidal bias (b(K2)), we obtain a significant detection of a negative Lagrangian tidal bias.